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Finding the Fourth Proportional to 2,298, 3,171.24 and 1,302.96

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Solution

The fourth proportional to 2,298, 3,171.24 and 1,302.96 is: 1,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298 : 3,171.24 = 1,302.96 : x
  2. Step 2: Convert to fraction form
    2,298/3,171.24 = 1,302.96/x
  3. Step 3: Cross multiply
    2,298x = 3,171.24 × 1,302.96
  4. Step 4: Simplify right side
    2,298x = 4,131,998.87
  5. Step 5: Solve for x
    x = 4,131,998.87/2,298
  6. Step 6: Final answer
    x = 1,798.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.